Limit theorems of additive functionals for regime-switching diffusions with infinite delay

Central limit and other weak theorems (60F05) Stochastic integral equations (60H20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

Central limit theorem for Markov processes with spectral gap in the Wasserstein metric
Continuous-time Markov chains and applications. A two-time-scale approach
Stochastic functional differential equations with infinite delay: existence and uniqueness of solutions, solution maps, Markov properties, and ergodicity
Law of large numbers and central limit theorem for randomly forced PDE's
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
Some remarks and examples concerning the transience and recurrence of random diffusions
Functional law of iterated logarithm for additive functionals of reversible Markov processes
Convergence, boundedness, and ergodicity of regime-switching diffusion processes with infinite memory
Limit theorems for additive functionals of stochastic functional differential equations with infinite delay
Limit theorems for additive functionals of path-dependent SDEs
A useful version of the central limit theorem for a general class of Markov chains
Transience/recurrence and central limit theorem behavior for diffusions in random temporal environments
Invariance principles for the law of the iterated logarithm for martingales and processes with stationary increments
Invariant probability measures for path-dependent random diffusions
Modeling and Analysis of Switching Diffusion Systems: Past-Dependent Switching with a Countable State Space
Central limit theorems for additive functionals of ergodic Markov diffusions processes
Long time behavior of diffusions with Markov switching
Mathematics of Two-Dimensional Turbulence
An invariance principle for the law of the iterated logarithm for some Markov chains
Central limit theorem for an additive functional of a Markov process, stable in the Wesserstein metric
On the functional central limit theorem and the law of the iterated logarithm for Markov processes
The Strassen invariance principle for certain non-stationary Markov–Feller chains
Ergodicity of Regime-Switching Functional Diffusions with Infinite Delay and Application to a Numerical Algorithm for Stochastic Optimization
An invariance principle for the law of the iterated logarithm
The law of the iterated logarithm for passive tracer in a two-dimensional flow
Stochastic Differential Equations with Markovian Switching
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